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Finding the Fourth Proportional to 12,077.28, 18,115.68 and 6,872

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Solution

The fourth proportional to 12,077.28, 18,115.68 and 6,872 is: 10,307.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,077.28 : 18,115.68 = 6,872 : x
  2. Step 2: Convert to fraction form
    12,077.28/18,115.68 = 6,872/x
  3. Step 3: Cross multiply
    12,077.28x = 18,115.68 × 6,872
  4. Step 4: Simplify right side
    12,077.28x = 124,490,952.96
  5. Step 5: Solve for x
    x = 124,490,952.96/12,077.28
  6. Step 6: Final answer
    x = 10,307.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.